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Finding the Fourth Proportional to 478.24, 659.95 and 281.74

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Solution

The fourth proportional to 478.24, 659.95 and 281.74 is: 388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 659.95 = 281.74 : x
  2. Step 2: Convert to fraction form
    478.24/659.95 = 281.74/x
  3. Step 3: Cross multiply
    478.24x = 659.95 × 281.74
  4. Step 4: Simplify right side
    478.24x = 185,934.31
  5. Step 5: Solve for x
    x = 185,934.31/478.24
  6. Step 6: Final answer
    x = 388.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.